Least Common Multiple of 72/675, 920/312, 769/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/675, 920/312, 769/318 quickly i.e. 2122440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/675, 920/312, 769/318 is 2122440.

LCM(72/675, 920/312, 769/318) = 2122440

LCM of 72/675, 920/312, 769/318

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 72/675,920/312,769/318

Given numbers are 72/675,920/312,769/318

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 72,920,769

Least Common Multiple of Numerators i.e. LCM of 72,920,769 is 6367320.

GCF of Denominators means GCF of 675,312,318 as per the given fractions.

GCF of 675,312,318 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,920,769

LCM of Fractions 72/675,920/312,769/318 is 2122440

2 72, 920, 769
2 36, 460, 769
2 18, 230, 769
9, 115, 769

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 115 x 769 = 6367320

Least Common Multiple of 72,920,769 with GCF Formula

Least Common Multiple of 72,920,769 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 72,920,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,920,769) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(72,920,769) x common factors =1 x 8 = 8

LCM(72,920,769) = ( 72 × 920 × 769 ) / 8

LCM(72,920,769) = 50938560 / 8

LCM(72,920,769) = 6367320


Lets's calculate GCF of 675,312,318

3 675, 312, 318
225, 104, 106

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6367320/3

Therefore the LCM of Fractions 72/675,920/312,769/318 is 2122440

Greatest Common Factor of 675,312,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,312,318 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 675,312,318 . The biggest common factor number is the GCF number.
So the greatest common factor 675,312,318 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 72/675, 920/312, 769/318

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 72/675, 920/312, 769/318?

Answer: LCM of Numerators as per given numbers 72/675, 920/312, 769/318 is

LCM of Numerators i.e. for 72,920,769 is 6367320

GCF of denominators i.e. for 675,312,318 is 3.

Thus, LCM of Fractions is 2122440.Finally, LCM of Fractions for 72/675, 920/312, 769/318 is 2122440.